If your hash is really big, you could speed things up by using a Schwartzian transform sort: 
 #--snip -- Hash declaration omitted --
#--  Schwartzian Transform Sort --
my @sorted=  map{ 
                $_->[3] 
            } sort{ 
                $a->[0] cmp $b->[0]  
                || 
                $a->[1] cmp $b->[1]
                || 
                $a->[2] cmp $b->[2] 
            } map{ 
                [ @{ $myData{$_} }{qw| Category File Name | },$_] 
            } keys %myData;
   print join (", ",@sorted), "\n"; 

#Prints: Method2, Method4, Method3, Method1

[download]
Update:On second thoughts - this is probably a marginal gain in efficiency - array access Vs. Hash value fetch.

     Have you been high today? I see the nuns are gay! My brother yelled to me...I love you inside Ed - Benny Lava, by Buffalax

In reply to Re: Printing a Tree of Hash of hashes sorted by value by NetWallah
in thread Printing a Tree of Hash of hashes sorted by value by Bugz

Title:
Use:  <p> text here (a paragraph) </p>
and:  <code> code here </code>
to format your post, it's "PerlMonks-approved HTML":


  • Posts are HTML formatted. Put <p> </p> tags around your paragraphs. Put <code> </code> tags around your code and data!
  • Titles consisting of a single word are discouraged, and in most cases are disallowed outright.
  • Read Where should I post X? if you're not absolutely sure you're posting in the right place.
  • Please read these before you post! —
  • Posts may use any of the Perl Monks Approved HTML tags:
    a, abbr, b, big, blockquote, br, caption, center, col, colgroup, dd, del, details, div, dl, dt, em, font, h1, h2, h3, h4, h5, h6, hr, i, ins, li, ol, p, pre, readmore, small, span, spoiler, strike, strong, sub, summary, sup, table, tbody, td, tfoot, th, thead, tr, tt, u, ul, wbr
  • You may need to use entities for some characters, as follows. (Exception: Within code tags, you can put the characters literally.)
            For:     Use:
    & &amp;
    < &lt;
    > &gt;
    [ &#91;
    ] &#93;
  • Link using PerlMonks shortcuts! What shortcuts can I use for linking?
  • See Writeup Formatting Tips and other pages linked from there for more info.